On a Universal Invariant of 3-Manifolds
| dc.creator | Le, Thang T. Q. | |
| dc.creator | Murakami, Jun | |
| dc.creator | Ohtsuki, Tomotada | |
| dc.date | 1995-12-01 | |
| dc.date.accessioned | 2026-07-07T09:16:45Z | |
| dc.date.available | 2026-07-07T09:16:45Z | |
| dc.description | We construct an invariant of 3-manifolds using a modification of the Kontsevich integral and Kirby's calculus. This invariant, as expected in perturbative Chern-Simon theory, takes values in the algebra of oriented 3-valent graphs. This algebra is a Hopf algebra, graded by half the number of vertices in 3-valent graphs. The degree 1 term of the invariant coincides with Casson-Walker-Lescop invariant. The degree $n$ term is constructed out of the universal Vassiliev invariant of links of degree less than or equal to $(l+1)n$ where $l$ is the number of link components. | |
| dc.description | 33 pages, Ams-LaTex, a ready postcript file of the paper is available at http://www.math.buffalo.edu/~letu/ | |
| dc.identifier | https://arxiv.org/abs/q-alg/9512002 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9512002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153464 | |
| dc.subject | Quantum Algebra | |
| dc.title | On a Universal Invariant of 3-Manifolds | |
| dc.type | text |